Solve for x 3x+x-13+4-6x=12

$3 x + x - 13 + 4 - 6 x = 12$

Step 1

Simplify $3 x + x - 13 + 4 - 6 x$ .

Add $3 x$ and $x$ .

$4 x - 13 + 4 - 6 x = 12$

Subtract $6 x$ from $4 x$ .

$- 2 x - 13 + 4 = 12$

Add $- 13$ and $4$ .

$- 2 x - 9 = 12$

Step 2

Move all terms not containing $x$ to the right side of the equation.

Add $9$ to both sides of the equation.

$- 2 x = 12 + 9$

Add $12$ and $9$ .

$- 2 x = 21$

Step 3

Divide each term in $- 2 x = 21$ by $- 2$ and simplify.

Divide each term in $- 2 x = 21$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{21}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{21}{- 2}$

Divide $x$ by $1$ .

$x = \frac{21}{- 2}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{21}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{21}{2}$

Decimal Form:

$x = - 10.5$

Mixed Number Form:

$x = - 10 \frac{1}{2}$